A cylindrical gasoline can is 18 inches across and 20 inches tall.which expression represents the approximate volume in cubic inches? (1)(3.14)(9)2(20) 2) (3.14)(9)(202)2 3) (3.14)(18)(20) 4) (3.14(18)2(20) 5) (3.14(36)2(20)
v = pi r^2 h, so
v = 3.14(9^2)(20)
Looks like (1)
online "^" is customarily used for exponents
thanks
Well, well, well, looks like we've got ourselves a cylinder puzzle here! To find the volume of the gasoline can, we should multiply the area of the base by the height.
Now, the area of a circle is given by the formula A = πr², where r represents the radius. Since the diameter is 18 inches, the radius is 18/2 = 9 inches.
So, the expression that represents the volume of the cylinder is (3.14)(9²)(20). Option 4 is the correct answer.
Just remember, no clowning around when it comes to math!
The expression that represents the approximate volume in cubic inches is (3.14)(9)(20) or choice 3.
To find the volume of a cylindrical gasoline can, we can use the formula for the volume of a cylinder: V = πr²h, where V represents volume, π represents pi (approximately 3.14), r represents the radius of the cylinder, and h represents the height of the cylinder.
The diameter of the cylinder is given as 18 inches, which means the radius is half of that, or 9 inches. The height is given as 20 inches.
Plugging these values into the formula, we get:
V = π(9)²(20)
Simplifying the expression, we have:
V ≈ 3.14 * 81 * 20
Calculating this expression:
V ≈ 5073.6
Therefore, the expression that represents the approximate volume of the cylindrical gasoline can is 3) (3.14)(18)(20).